4y^3(dy)/(dx)-5x^2+3x=0

Lösung

4 y^{3} \frac{d y}{d x} - 5 x^{2} + 3 x = 0

y = 4 \frac{5 x ^{3}}{3} - \frac{3 x ^{2}}{2} + c_{1}, y = - 4 \frac{5 x ^{3}}{3} - \frac{3 x ^{2}}{2} + c_{1}

Schritte zur Lösung

4 y^{3} \frac{d y}{d x} - 5 x^{2} + 3 x = 0

Solve separable ODE:

y = 4 \frac{5 x ^{3}}{3} - \frac{3 x ^{2}}{2} + c_{1}, y = - 4 \frac{5 x ^{3}}{3} - \frac{3 x ^{2}}{2} + c_{1}

y = 4 \frac{5 x ^{3}}{3} - \frac{3 x ^{2}}{2} + c_{1}, y = - 4 \frac{5 x ^{3}}{3} - \frac{3 x ^{2}}{2} + c_{1}

y ln (x) \frac{d x}{d y} = (\frac{y + 1}{x})

t^{^{'}} + t = 0

3 y^{2} \frac{d y}{d x} = 5 x

y^{^{'}} = e^{y + x}

\frac{df}{d x} = f (x) (x)^{2}